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Finding the Third Proportional to 26,898,399 and 42,027,214.50

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Solution

The third proportional to 26,898,399 and 42,027,214.50 is: 65,665,125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,898,399 : 42,027,214.50 = 42,027,214.50 : x
  2. Step 2: Convert to fraction form
    26,898,399/42,027,214.50 = 42,027,214.50/x
  3. Step 3: Cross multiply
    26,898,399x = 42,027,214.50 × 42,027,214.50
  4. Step 4: Simplify right side
    26,898,399x = 1,766,286,758,629,010.25
  5. Step 5: Solve for x
    x = 1,766,286,758,629,010.25/26,898,399
  6. Step 6: Final answer
    x = 65,665,125.97

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.